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Simplifying 3c + 2d + -2(5c + -3d) = 0 3c + 2d + (5c * -2 + -3d * -2) = 0 3c + 2d + (-10c + 6d) = 0 Reorder the terms: 3c + -10c + 2d + 6d = 0 Combine like terms: 3c + -10c = -7c -7c + 2d + 6d = 0 Combine like terms: 2d + 6d = 8d -7c + 8d = 0 Solving -7c + 8d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8d' to each side of the equation. -7c + 8d + -8d = 0 + -8d Combine like terms: 8d + -8d = 0 -7c + 0 = 0 + -8d -7c = 0 + -8d Remove the zero: -7c = -8d Divide each side by '-7'. c = 1.142857143d Simplifying c = 1.142857143d
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